SYMBOLIC APPROACH TO THE GENERAL CUBIC DECOMPOSITION OF POLYNOMIAL SEQUENCES. RESULTS FOR SEVERAL ORTHOGONAL AND SYMMETRIC CASES

We deal with a symbolic approach to the cubic decomposition (CD) of polynomial sequences - presented in a previous article referenced herein - which allows us to compute explicitly the first elements of the nine component sequences of a CD. Properties are investigated and several experimental results are discussed, related to the CD of some widely known orthogonal sequences. Results concerning the symmetric character of the component sequences are established.